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Finding the Fourth Proportional to 1,427.96, 1,970.66 and 868.34

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Solution

The fourth proportional to 1,427.96, 1,970.66 and 868.34 is: 1,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.96 : 1,970.66 = 868.34 : x
  2. Step 2: Convert to fraction form
    1,427.96/1,970.66 = 868.34/x
  3. Step 3: Cross multiply
    1,427.96x = 1,970.66 × 868.34
  4. Step 4: Simplify right side
    1,427.96x = 1,711,188.71
  5. Step 5: Solve for x
    x = 1,711,188.71/1,427.96
  6. Step 6: Final answer
    x = 1,198.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.